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Finding the Fourth Proportional to 424.81, 586.51 and 267.61

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Solution

The fourth proportional to 424.81, 586.51 and 267.61 is: 369.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    424.81 : 586.51 = 267.61 : x
  2. Step 2: Convert to fraction form
    424.81/586.51 = 267.61/x
  3. Step 3: Cross multiply
    424.81x = 586.51 × 267.61
  4. Step 4: Simplify right side
    424.81x = 156,953.81
  5. Step 5: Solve for x
    x = 156,953.81/424.81
  6. Step 6: Final answer
    x = 369.47

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.